Use the Root Test to determine if the following series converges absolutely or diverges. n² 00 n=1 (Hint: lim (1+x/n)"=e*) 818 Since the limit resulting from the Root Test is (Type an exact answer.)

Q: For which values of x does the geometric series 2 2" x" converges? n D0 Select one: a. Ob. 12x >3…

A: Geometric series converges when |r| <1  Here r is common ratio

Q: 8. Determine whether the series is conditionally convergent, absolutely convergent, or divergent: 1…

A: Explanation of the solution is given below..

Q: Determine which (if any) of the following series are conditionally convergent Α. Σ-1" sin (n) C.…

A: I just answered which are convergent

Q: Find all values of p for which the following series converges n vn+1 – Vn³ -n? +1 2nº +1 n=1

A: Explanation of the solution is given below....

Q: 4. Determine if the infinite series diverges or converges. a. E2 b. En1 (n+1)2-1 3n+1 4n+2 C. c. E…

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Q: L= lim Van 7n-3n L' 9n+2

A: given series ∑n=0∞7n-3n49n4+2n

Q: Σ+. Find the function represented by the power series ". Determine its interval of convergence.

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Q: 2. Use root test to determine whether the following series is convergent or divergent: 00 Σ n=2…

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Q: Find the sum of the following infinite Series if it is Converges lo0 (l00) (100) (100)3 (100)" no,…

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Q: n=1 (n!)² (kn)!

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Q: 8 Consider 2-³. This is deceptive, and it is tempting to cal- n=0 = culate B lim sup(2-¹)¹/n = and…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ E-8)n (-8)" (2n +…

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Q: n E(-1) n n=1

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Q: Σ cos(Tn) Vn3 – 1 Vnº n=2

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Q: Find the sum of the geometric series for those x for which the series converges. Σ(-1)" (²-6)* 9 n=0

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Q: Determine the convergence or divergence of the SERIES (-1)*. A. It diverges B. It converges…

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